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We use COMSOL Multiphysics to model a gas bubble expansion in a viscous liquid initially at rest, a very common system for lightweight foamed materials from metal production and polymer processing. Modelling and simulation of foam processing during the production step involves many complexities, mainly due to the coupled momentum, mass and energy transport mechanisms, presence of more phases in the system and random character of the phenomena. The numerical results of the computational model compared well with analytical solutions from literature and obtained for a few simple cases. This first computational work is a basis for considering successive more realistic foam expansions.